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Geometry Chapter 2

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Section 1

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Congruent Supplements Theorem

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Geometry Math

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Mar 1, 2020

Cards (34)

Section 1

(34 cards)

Congruent Supplements Theorem

Front

Supplements of the same angle, or congruent angles are congruent.

Back

Addition Property of =

Front

Adding the same number to both sides of an equality to get an equivalent equation.

Back

Symmetric Property of =

Front

If a=b, then b=a

Back

Inverse Statement

Front

A conditional statement that negates the hypothesis and conclusion. If not p then not q.

Back

Vertical Angle Theorem

Front

Vertical angles are congruent

Back

Definition of Segment Bisector

Front

any segment, line, or plane that intersects a segment at its midpoint

Back

Substitution Property of =

Front

if a=b, then a can replace b in any expression

Back

Multiplication Property of =

Front

Multiplying both sides of an equation by the same number to get an equivalent equation.

Back

Negation of a statement

Front

The statement "Not P", written ~ P. If the statement is" I like eating apples". Then the negation should be "I don't like eating apples"

Back

Conditional Statement

Front

A statement written in if then form with a hypothesis and conclusion. If p then q.

Back

Definition of Midpoint

Front

If M is the midpoint of AB, then AM is congruent to MB

Back

Definition of Complementary Angles

Front

Two angles whose sum is 90 degrees

Back

Division Property of =

Front

Dividing both sides of an equation by the same number to get an equivalent equation.

Back

Definition of Angle Bisector

Front

a ray that divides an angle into 2 congruent angles

Back

Properties of Congruence

Front

Reflexive Property, Symmetric Property, Transitive Property - like the properties of equality except the figures are congruent.

Back

Subtraction Property of =

Front

Subtracting the same number from both sides of an equation to get an equivalent equation.

Back

Congruent Complements Theorem

Front

Complements of the same angle, or congruent angles, are congruent.

Back

Counterexample

Front

It is an example that proves a conjecture or statement is false.

Back

deductive reasoning

Front

A method of reasoning by which specific definitions, conclusions, and theorems are drawn from general principles.

Back

Truth value

Front

A conditional statement has a truth value of either true (T) or false (F).

Back

Angle Addition Postulate

Front

if point B lies in the interior of <AOC then m<AOB+m<BOC=m<AOC. Two small adjacent angles that add up to become a larger angle

Back

Converse Statement

Front

The hypothesis and the conclusion of a conditional statement are switched. If q then p.

Back

Transitive Property of =

Front

If a = b and b = c, then a = c

Back

Definition of Supplementary Angles

Front

Two angles whose sum is 180 degrees

Back

Definition of Perpendicular Lines

Front

Two lines that intersect to form right angles

Back

Definition of a Right Angle

Front

A right angle = 90 degrees

Back

Reflexive Property of =

Front

a = a

Back

Conjecture

Front

A statement that is believed to be true.

Back

Inductive Reasoning

Front

It is used to draw a conclusion based on a pattern.

Back

Segment Addition Postulate

Front

Two small segments that add up to become a larger segment If B is between A and C, then AB + BC =

Back

Linear Pair Theorem

Front

If two angles form a linear pair, then they are supplementary.

Back

Contrapositive Statement

Front

It is formed by reversing AND negating the hypothesis and the conclusion of the conditional to become "if not q, then not p".

Back

If two congruent angles are supplementary, then each angle is a right angle.

Front

See diagram.

Back

Right Angle Congruence Theorem

Front

All right angles are congruent.

Back